{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:47:25Z","timestamp":1760147245008,"version":"build-2065373602"},"reference-count":24,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2023,1,19]],"date-time":"2023-01-19T00:00:00Z","timestamp":1674086400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>Research in this paper aims to explore the concept of generalized exponentially (s,m)-convex functions, and to determine some properties of these functions. In addition, we look at some interactions between generalized exponentially (s,m)-convex functions and local fractional integrals. The properties of the generalized new special cases of (s,m)-convex functions, s-convex functions, and also generalized m-convex functions are impressive. We derive some inequalities of Hadamard\u2019s type for generalized exponentially (s,m)-convex functions, and give applications in probability density functions and generalized special methods to attest to the applicability and efficiency of the method under consideration.<\/jats:p>","DOI":"10.3390\/axioms12020106","type":"journal-article","created":{"date-parts":[[2023,1,19]],"date-time":"2023-01-19T04:19:40Z","timestamp":1674101980000},"page":"106","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Some Local Fractional Inequalities Involving Fractal Sets via Generalized Exponential (s,m)-Convexity"],"prefix":"10.3390","volume":"12","author":[{"given":"Wedad","family":"Saleh","sequence":"first","affiliation":[{"name":"Department of Mathematics, Taibah University, Al-Medina 42353, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1217-963X","authenticated-orcid":false,"given":"Adem","family":"K\u0131l\u0131\u00e7man","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, Universiti Putra Malaysia, Serdang 43400, Malaysia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,1,19]]},"reference":[{"key":"ref_1","first-page":"157","article-title":"A note on modular spaces. 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